Concept information
Preferred term
projection-valued measure
Definition(s)
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In mathematics, particularly in functional analysis, a projection-valued measure (PVM) is a function defined on certain subsets of a fixed set and whose values are self-adjoint projections on a fixed Hilbert space. Projection-valued measures are formally similar to real-valued measures, except that their values are self-adjoint projections rather than real numbers. As in the case of ordinary measures, it is possible to integrate complex-valued functions with respect to a PVM; the result of such an integration is a linear operator on the given Hilbert space.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Projection-valued_measure)
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-QWLRS7WW-9
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